BB Potentials in Quenched Lattice QCD
The potentials between two B-mesons are computed in the heavy-quark limit using quenched lattice QCD at $$m_\pi\sim 400~{\rm MeV}$$. Non-zero central potentials are clearly evident in all four spin-isospin channels, (I,s_l) = (0,0) , (0,1) , (1,0) , (1,1), where s_l is the total spin of the light degrees of freedom. At short distance, we find repulsion in the $$I\ne s_l$$ channels and attraction in the I=s_l channels. Linear combinations of these potentials that have well-defined spin and isospin in the t-channel are found, in three of the four cases, to have substantially smaller uncertainties than the potentials defined with the s-channel (I,s_l), and allow quenching artifacts from single hairpin exchange to be isolated. The BB*\pi coupling extracted from the long-distance behavior of the finite-volume t-channel potential is found to be consistent with quenched calculations of the matrix element of the isovector axial-current. The tensor potentials in both of the s_l = 1 channels are found to be consistent with zero within calculational uncertainties.
- Research Organization:
- Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
- Sponsoring Organization:
- USDOE Office of Science (SC)
- DOE Contract Number:
- AC05-06OR23177
- OSTI ID:
- 920983
- Report Number(s):
- JLAB-THY-07-625; DOE/OR/23177-0044; hep-lat/0703009; TRN: US0801980
- Journal Information:
- Physical Review. D, Particles, Fields, Gravitation and Cosmology, Vol. 76; ISSN 1550-7998
- Country of Publication:
- United States
- Language:
- English
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